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Finding the Fourth Proportional to 28,284.96, 42,338.80 and 19,468.32

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Solution

The fourth proportional to 28,284.96, 42,338.80 and 19,468.32 is: 29,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.96 : 42,338.80 = 19,468.32 : x
  2. Step 2: Convert to fraction form
    28,284.96/42,338.80 = 19,468.32/x
  3. Step 3: Cross multiply
    28,284.96x = 42,338.80 × 19,468.32
  4. Step 4: Simplify right side
    28,284.96x = 824,265,306.82
  5. Step 5: Solve for x
    x = 824,265,306.82/28,284.96
  6. Step 6: Final answer
    x = 29,141.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.